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13982192 = 247127983
BaseRepresentation
bin110101010101…
…100111110000
3222022100221222
4311111213300
512034412232
61215404212
7226563260
oct65254760
928270858
1013982192
117990034
124823668
132b872b3
141bdd7a0
151362d12
hexd559f0

13982192 has 40 divisors (see below), whose sum is σ = 31236096. Its totient is φ = 5939136.

The previous prime is 13982191. The next prime is 13982197. The reversal of 13982192 is 29128931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13733 + ... + 14715.

Almost surely, 213982192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618048).

13982192 is an abundant number, since it is smaller than the sum of its proper divisors (17253904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13982192 is a wasteful number, since it uses less digits than its factorization.

13982192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 13982192 is about 3739.2769354516. The cubic root of 13982192 is about 240.9119930263.

The spelling of 13982192 in words is "thirteen million, nine hundred eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 983 1016 1778 1966 2032 3556 3932 6881 7112 7864 13762 14224 15728 27524 55048 110096 124841 249682 499364 873887 998728 1747774 1997456 3495548 6991096 13982192